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Numerical analytic continuation on bounded domains
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DOI：10.1016/j.enganabound.2011.11.003.png)
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The problem of numerical analytic continuation of an analytic function with complex variable, in general, is ill-posed and frequently encountered in many practical applications. However, there are few results for this problem until now. In the present paper, this problem with a single complex variable is considered on bounded domains. A very simple meshless algorithm based on the method of fundamental solution (MFS) combining with numerical differentiation is established. Some numerical examples verify the feasibility and effectiveness of this method. (C) 2011 Elsevier Ltd. All rights reserved.
Keyword:
Numerical analytic continuation
III-posed problem
The method of fundamental solution
Regularization
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